Abstract
The role of various magnetic inter-chain couplings has been investigated recently by numerical methods in doped frustrated quantum spin chains. A non-magnetic dopant introduced in a gapped spin chain releases a free spin- 1 2 soliton. The formation of a local magnetic moment has been analyzed in term of soliton confinement. A four-spin coupling which might originate from cyclic exchange is shown to produce such a confinement. Dopants on different chains experience an effective space-extended non-frustrating pairwise spin interaction. This effective interaction between impurity spins is long ranged and therefore is expected to play a crucial role in the mechanism of antiferromagnetic long-range ordering observed in spin-Peierls compounds such as CuGeO 3 doped with non-magnetic impurities.
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